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Convert the following binary values to their decimal equivalent. а. 1111 b. 0101 С. 1001 d. 1010

Convert the following binary values to their decimal equivalent. а. 1111 b. 0101 С. 1001 d. 1010

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Convert the following binary values to their decimal equivalent. а. 1111 b. 0101 С. 1001 d. 1010
Transcribed Image Text:Convert the following binary values to their decimal equivalent. а. 1111 b. 0101 С. 1001 d. 1010
Expert Solution
Step 1

To convert binary to decimal we need to multiply each digit of a number by a power of 2 and then add them.

 

 

Part a) 1111

==========

(1111)2 = (1x23 + 1x22 + 1x21 + 1x20) 

= 8+4+2+1 = 15

So, decimal equivalent of 1111 is 15

 

Part b) 0101

==========

(0101)2 = (0x23 + 1x22 + 0x21 + 1x20 ) 

= 0+4+0+1 = 5

So, decimal equivalent of 0101 is 5

 

 

Part c) 1001

==========

(1001)2 = (1x23 + 0x22 + 0x21 + 1x20 ) 

= 8+0+0+1 = 9

So, decimal equivalent of 1001 is 9

 

 

Part d) 1010

==========

(1010)2 = (1x23 + 0x22 + 1x21 + 0x20 ) 

= 8+0+2+0 = 10

So, decimal equivalent of 1010 is 10

 

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